The play, now running at the Fountain Theater in Los Angeles and the Curious Theater in Denver, is set in 2019, and depicts a scholar interviewing a prison supervisor who is awaiting sentencing for his role in an imagined Trump administration effort to detain and deport immigrants following a terrorist attack. In The Los Angeles Times, the critic Charles McNulty wrote that “‘Building the Wall’ should be seen and shuddered over, if only to heighten our collective vigilance.”

The New York production will star Tamara Tunie (“Familiar”) as the scholar and James Badge Dale (“The Pacific”) as the prison official, and will be directed by Ari Edelson, who is the artistic director of the Exchange theater company. The lead producer is Jeffrey Richards.

A version of this article appears in print on , on Page C2 of the New York edition with the headline: Trump Play Is Coming to New York Theater. Order Reprints | Today’s Paper | Subscribe